A017793 Binomial coefficients C(77, n).
1, 77, 2926, 73150, 1353275, 19757815, 237093780, 2404808340, 21042072975, 161322559475, 1096993404430, 6681687099710, 36749279048405, 183746395242025, 839983521106400, 3527930788646880, 13670731806006660, 49053802362729780, 163512674542432600
Offset: 0
Links
- Nathaniel Johnston, Table of n, a(n) for n = 0..77 (full sequence)
Programs
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GAP
List([0..77], n -> Binomial(77,n)); # G. C. Greubel, Nov 15 2018
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Magma
[Binomial(77,n): n in [0..77]]; // G. C. Greubel, Nov 15 2018
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Maple
seq(binomial(77,n), n=0..77); # Nathaniel Johnston, Jun 24 2011
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Mathematica
Binomial[77, Range[0, 20]] (* Alonso del Arte, Nov 19 2017 *)
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PARI
Vec((x+1)^77) \\ Iain Fox, Nov 20 2017
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PARI
vector(77, n, n--; binomial(77,n)) \\ G. C. Greubel, Nov 15 2018
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Sage
[binomial(77, n) for n in range(17)] # Zerinvary Lajos, May 28 2009
Formula
G.f.: (x + 1)^77. - Iain Fox, Nov 20 2017
E.g.f.: 1F1(-77; 1; -x), where 1F1 is the confluent hypergeometric function. - G. C. Greubel, Nov 15 2018
Comments